GCD of 816, 282, 400, 434 Calculator

Given Input numbers are 816, 282, 400, 434

In the factoring method, we have to find the divisors of all numbers

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (816, 282, 400, 434) = 2.

Given numbers are 816, 282, 400, 434

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 282 are 2 x 3 x 47

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 816, 282, 400, 434 is 2.

Given numbers are 816, 282, 400, 434

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(816, 282) = 38352

GCD(816, 282) = ( 816 x 282 ) / 38352

= 816 / 282

= 816

Step2:

LCM(6, 400) = 1200

GCD(6, 400) = ( 6 x 400 ) / 1200

= 6 / 400

= 6

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 816, 282, 400, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 133, 890, 446
• GCD of 536, 437, 433, 658
• GCD of 301, 283, 773, 197
• GCD of 223, 190, 584, 956
• GCD of 460, 239, 525, 685

Given numbers are 816, 282, 400, 434
The greatest common divisor of numbers 816, 282, 400, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 282, 400, 434 is 2.

1. What is the GCD of 816, 282, 400, 434?

GCD of given numbers 816, 282, 400, 434 is 2

2. How to calculate the greatest common divisor of 816, 282, 400, 434?

We can find the highest common divisor of 816, 282, 400, 434 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 816, 282, 400, 434 i.e 2.

3. How can I use the GCD of 816, 282, 400, 434Calculator?

Out the numbers 816, 282, 400, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.